Question

The arcade has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 in: 5. Feet. What are the dimensions of the scale drawing?

Answer 1

Answer:

2 feet by 1.25 feet

Step-by-step explanation:

The arcade floor has dimensions 120 ft by 75 ft.

The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.

Let us simply the ratio 1 in : 5 feet.

1 foot = 12 inches

=> 5 feet =  5 * 12 = 60 inches

The ratio can be rewritten as 1 in : 60 in = 1 : 60.

Hence, multiply the individual dimensions of the arcade floor by $\frac{1}{60}$.

120 feet will be:

120 *  $\frac{1}{60}$ = 2 feet

75 feet will be:

75 *  $\frac{1}{60}$ = 1.25 feet

Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.